Question

*ths-sc geometry cr sem a
parallel and perpendicular lines
solving for an unknown segment length
what is the measure of $overline{ac}$?
39 units
13 units
26 units
5 units
$8x-1$
$3x-2$
$6x+9$

Explanation:

Step1: Set equal congruent segments

$8x - 1 = 6x + 9$

Step2: Solve for x

$8x - 6x = 9 + 1$
$2x = 10$
$x = 5$

Step3: Find length of AB

$AB = 3x - 2 = 3(5) - 2 = 13$

Step4: Calculate total AC length

$AC = 2 \times AB = 2 \times 13 = 26$

Answer:

26 units